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Finding the Third Proportional to 10,449,630 and 22,643,048.25

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Solution

The third proportional to 10,449,630 and 22,643,048.25 is: 49,064,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449,630 : 22,643,048.25 = 22,643,048.25 : x
  2. Step 2: Convert to fraction form
    10,449,630/22,643,048.25 = 22,643,048.25/x
  3. Step 3: Cross multiply
    10,449,630x = 22,643,048.25 × 22,643,048.25
  4. Step 4: Simplify right side
    10,449,630x = 512,707,634,051,828.06
  5. Step 5: Solve for x
    x = 512,707,634,051,828.06/10,449,630
  6. Step 6: Final answer
    x = 49,064,668.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.